Business Z-Score Research Paper

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SCORE

THE Z- SCORE

It is a statistical tool which determines whether there is any dependence or correlation among two or more variables. Z score is closely related to the p- value which is the probability that the null hypothesis will be rejected. The Z scores can be represented in a graph of standard normal distribution that is the standard deviation against probability. When the Z score is very high or very low, this is often associated with very small p- values; they are normally situated in the tails of the distribution curve

An illustration on the application of z-score can be explained in a research involving the evaluation of teacher effectiveness and student performance. The z score will indicate whether teacher's effectiveness affects student performance. The students can perform very well or poorly depending on the effectiveness of the teacher.

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Educators can use this method to decide on which mode of teaching is effective to a particular group of students to achieve desired results.

The formula for calculating Z score is:

Z = (x-µ) / ? Where:

Z = The Z- score

X = The raw score

µ = The mean of the population

= Standard deviation of the population

When the Z -- score value gives a negative score, it means that the teaching strategy has an effect on the performance of the students that is to say that there is a correlation between student performance and teacher effectiveness. This can be translated to mean poor teaching strategies will mean poor performance by the students. When the Z- score is positive it means that the teaching strategy has no effect on the performance of the student. That.....

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